Heat Transfer of Slurry Flow with Internal Heat Generation : 1st Report, Fully-Developed Laminar Heat Transfer in a Circular Tube

Abstract

Recently, the development of a homogeneous reactor which uses an aqueous slurry of uranium oxide or thorium oxide as a reactor fuel or a fertile material has been desired. In this case, the fluid is not a Newtonian fluid but rather a Bingham plastic, and the heat transfer of fluid flow with internal heat generation should be analyzed. This paper presents the analytic solutions of the fully-developed heat transfer of a Bingham plastic with a uniform heat source in a laminar flow through a circular tube with uniform wall heat transfer beyond the entrance region of velocity and temperature. From the results shown in figures, it is clarified that the fluid-temperature distribution, the mixed-mean fluid temperature and Nusselt number are affected heavily both by the ratio of the yield stress to shearing stress at wall and by the wall heat transfer.